<u><em>Answer:</em></u>
The constant of proportionality is 9.5
<u><em>Explanation:</em></u>
The relation we are given between the hours worked and the amount of money received is a direct proportional relation
A direct proportion relation between two quantities means that when one of the them increases, the other would increase with a fixed rate and vice versa
<u>This relation is represented using the following general equation:</u>
y = kx where k is the constant of proportionality
<u>Now, we are given that:</u>
Adrian works 20 hours (x = 20, independent variable) and earns $190 (y = 190, dependent variable)
We substitute with these givens in the general equation and solve for k
<u>This is done as follows:</u>
y = kx
190 = 20k
k = 9.5
This means that the constant of proportionality is 9.5
<u>Additional information:</u>
The constant of proportionality in this problem represents Adrian's hourly rate
<u>The equation is:</u>
Amount earned = Hourly rate * number of hours worked
<u>We have:</u>
y is the amount earned
k is the hourly rate (constant of proportionality)
x is the number of hours worked
<u>The final equation is:</u>
y = 9.5x
Hope this helps :)
